Mathematical physics, including mathematics, is a research area where novel mathematical techniques are invented to tackle problems in physics, and where novel mathematical ideas find an elegant physical realization. Historically, it would have been impossible to distinguish between theoretical physics and pure mathematics. Often spectacular advances were seen with the concurrent development of new ideas and fields in both mathematics and physics. Here one might note Newton's invention of modern calculus to advance the understanding of mechanics and gravitation. In the twentieth century, quantum theory was developed almost simultaneously with a variety of mathematical fields, including linear algebra, the spectral theory of operators and functional analysis. This fruitful partnership continues today with, for example, the discovery of remarkable connections between gauge theories and string theories from physics and geometry and topology in mathematics.
Format results

17 talksCollection Number C16005

Symplectic Duality and Gauge Theory
Collection Number C16046 
Mathematica Summer School
18 talksCollection Number C15040 
Infinitesimal structure of BunG
Nikolay Grantcharov University of Chicago

Principal 2group bundles and the FreedQuinn line bundle
Emily Cliff University of Sherbrooke

Quantization of the Ngô morphism (VIRTUAL)
Tom Gannon University of California, Los Angeles


Integrable Deformations on Twistor Space
Joaquin Liniado National University of La Plata

Mathematical Physics Lecture
Kevin Costello Perimeter Institute for Theoretical Physics

Mathematical Physics Lecture
Kevin Costello Perimeter Institute for Theoretical Physics

Mathematical Physics Lecture
Kevin Costello Perimeter Institute for Theoretical Physics

Hypertoric 2Categories O and Symplectic Duality
Justin Hilburn Perimeter Institute for Theoretical Physics